Question

The ratio of maximum to minimum wavelength in Balmer series is(a) 3 : 4(b) 1 : 4(c) 5 : 36(d) 5 : 9

Answer 1

d) 5:9 it's correct

Answer 2

The Balmer series corresponds to all electron transitions from a higher energy level to  n=2

Thus the wavelength is given by the Rydberg formula

= 1/λ = R((1÷n²^1) — (1÷n²^2))

where, R=the Rydberg constant and n1 and n2 are the energy levels such that n2>n1.

Thus,

λmin/λmax = (1/2²-1/3²)/ (1/2²-1/∞²)

                  = 5/9

Hence, the ratio of maximum to minimum wavelength in Balmer series is 5:9